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Finding the Fourth Proportional to 84.51, 126.82 and 43.96

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Solution

The fourth proportional to 84.51, 126.82 and 43.96 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 126.82 = 43.96 : x
  2. Step 2: Convert to fraction form
    84.51/126.82 = 43.96/x
  3. Step 3: Cross multiply
    84.51x = 126.82 × 43.96
  4. Step 4: Simplify right side
    84.51x = 5,574.58
  5. Step 5: Solve for x
    x = 5,574.58/84.51
  6. Step 6: Final answer
    x = 65.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.